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Finding the Fourth Proportional to 9,823.58, 13,556.59 and 5,347.37

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Solution

The fourth proportional to 9,823.58, 13,556.59 and 5,347.37 is: 7,379.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,823.58 : 13,556.59 = 5,347.37 : x
  2. Step 2: Convert to fraction form
    9,823.58/13,556.59 = 5,347.37/x
  3. Step 3: Cross multiply
    9,823.58x = 13,556.59 × 5,347.37
  4. Step 4: Simplify right side
    9,823.58x = 72,492,061.98
  5. Step 5: Solve for x
    x = 72,492,061.98/9,823.58
  6. Step 6: Final answer
    x = 7,379.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.